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Finding the Third Proportional to 28,168 and 61,241

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Solution

The third proportional to 28,168 and 61,241 is: 133,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,168 : 61,241 = 61,241 : x
  2. Step 2: Convert to fraction form
    28,168/61,241 = 61,241/x
  3. Step 3: Cross multiply
    28,168x = 61,241 × 61,241
  4. Step 4: Simplify right side
    28,168x = 3,750,460,081
  5. Step 5: Solve for x
    x = 3,750,460,081/28,168
  6. Step 6: Final answer
    x = 133,146.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.